Quote: number can not be defined as a collection of unit objects; if distinguished, can't do arithmetic; if not, they merge together

Quotation Skeleton

We are faced, therefore, with the following difficulty … [in defining number as a collection of unit objects] … [as in 1'+1''+1'''], the result is an agglomeration in which the objects contained … and that is not the number. But if … together into one and we never reach a … make the mistake of assigning the same symbol … arithmetic.   Google-1   Google-2

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Topic: what is a number (55 items)